Square 1 to 20 : Chart, Table, Perfect Squares and Examples

Square 1 to 20

When you multiply a number by itself, the result is called a square. And when you’re preparing for exams, you need to have a foundation for algebra and quick mental math because you get a really short time to do your exam. Therefore, learning the squares from one to twenty is recommended.

Squares 1 to 20 Chart

Below is a table of squares 1 to 20.

Number	Square	Square in Words
1	1	One squared is one
2	4	Two squared is four
3	9	Three squared is nine
4	16	Four squared is sixteen
5	25	Five squared is twenty-five
6	36	Six squared is thirty-six
7	49	Seven squared is forty-nine
8	64	Eight squared is sixty-four
9	81	Nine squared is eighty-one
10	100	Ten squared is one hundred
11	121	Eleven squared is one hundred twenty-one
12	144	Twelve squared is one hundred forty-four
13	169	Thirteen squared is one hundred sixty-nine
14	196	Fourteen squared is one hundred ninety-six
15	225	Fifteen squared is two hundred twenty-five
16	256	Sixteen squared is two hundred fifty-six
17	289	Seventeen squared is two hundred eighty-nine
18	324	Eighteen squared is three hundred twenty-four
19	361	Nineteen squared is three hundred sixty-one
20	400	Twenty squared is four hundred

Understanding Square 1 to 20

As we already know, the square is a multiplication of number by itself, which means the mathematical formula of a square is:

n²=n×n

So, if we are looking at 4², it is actually 4×4 = 16

The above chart, square numbers 1 to 20, is a cheat sheet as it saves a lot of time during exams if you can just memorize the squares. Now, a square and a square root are two different ideas in math. To get a square, you multiply a number by itself. To get a square root, you find the number that, when multiplied by itself, gives you the original number.

Perfect Square Chart from 1 to 20

Perfect squares are a confusing term for a lot of people, but to put it simply, if 4×4=16, then 16 will be termed as a perfect square, which is a number that has a square root available. Below is a table of squares 1 to 20 that are perfect squares.

Perfect Square	Square Root Form	Explanation
1	1²	1 is obtained by multiplying 1 × 1
4	2²	4 is obtained by multiplying 2 × 2
9	3²	9 is obtained by multiplying 3 × 3
16	4²	16 is obtained by multiplying 4 × 4

How to Learn and Remember Squares 1 to 30 Easily for Exams

While learning the squares from 1 to 20 is great, learning the squares from 1 to 30 gives you a much better edge, and to make it easier for you, here are some strategies that you can implement right now.

Method	What You Do	Example	Purpose
Memorize Perfect Squares	Learn square roots of 1, 4, 9, 16, 25, 36	√16 = 4	Builds a strong foundation
Recognize Square Ranges	Identify between which two perfect squares a number lies	√15 is between √9 and √16	Helps estimate quickly
Halfway Trick	Check if the number is closer to a lower or a higher perfect square	√20 ≈ 4.5	Improves approximation accuracy
Multiples of 10 Reference	Memorize roots of 10, 20, 30	√10 ≈ 3.16	Speeds up mental math
Memorize Common Decimals	Learn frequently used non-perfect square roots	√2 ≈ 1.41	Useful in exams
Flashcard Practice	Revise regularly using Q&A cards	Front: √13 / Back: 3.61	Improves speed & recall

Square 1 to 20 – Even Numbers

Even Number	Square (n²)
2	4
4	16
6	36
8	64
10	100
12	144
14	196
16	256
18	324
20	400

Square 1 to 20 – Odd Numbers

Odd Number	Square (n²)
1	1
3	9
5	25
7	49
9	81
11	121
13	169
15	225
17	289
19	361

How to Calculate the Values of Squares 1 to 20?

There are two ways you can calculate the value of squares 1 to 20, firstly, you can multiply the number by itself, for example, 20 times 20 is equal to 400.

Secondly, you can use the formulas:

• (a+b)²=a²+b²+2ab
• (a−b)²=a²+b²−2ab

In both cases, you are going to get your desired answer. 

Examples on Square 1 to 20

Here are a few sample questions on perfect square 1 to 20.

• Example 1:
  • Find the square of 13.
  • Solution: 13² = 13 × 13 = 169
• Example 2:
  • Find the square of 18.
  • Solution: 18² = 18 × 18 = 324
• Example 3:
  • What is the square of 15?
  • Solution: 15² = 225
• Example 4 (Word Problem):
  • A square garden has a side length of 12 m. Find its area.
  • Solution: Area = 12 × 12 = 144 m²
• Example 5 (MCQ):
  • What is 19²?
    • A) 341
    • B) 361
    • C) 381
    • Answer:
      • B) 361

Conclusion

Knowing the square chart 1 to 20 by heart is going to prove extremely beneficial for you if you’re planning to appear for competitive exams, but even if you’re not doing so, it will still be a great help for you in your school or college curriculum. 

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